A block of mass m = 2.00 kg is attached to a spring of force constant k = 475 N/m as shown in the figure below. The block is pulled to a position x; = 4.55 cm to the right of equilibrium and released from rest. x= 0 *= x; (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is / = 0.350. m/sA toy cannon uses a spring to project a 522-9 soft rubber ball. The spring is originally compressed by 4.91 cm and has a force constant of 797 Mm. When the cannon is fired, the ball moves 14.1 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 3 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? l m/s (b) At what point does the ball have maximum speed" cm (from its original position) (C) What is this maximum speed1 m/s A 4.60-kg block is set into motion up an inclined plane with an initial speed of v. = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = 30.0 to the horizontal. i (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?(a) A 15.0 kg block is released from rest at point A in the gure below. The track is frictionless except for the portion between points B and C, which hes a length of 6.00 rn. The block travels down the track, hits a spring of force constant 2,150 me, and compresses the spring 0.250 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic Friction between the block and the rough surface between points B and C. T4...' 3.0\" m E ' If -i l b." I In '2\" Iii\" \"I" l| ED (b) What If? The spring now expands, forcing the block back to the le. Does the block reach point B? U Yes O No If the block does reach point B, how far up the curved portion of the track does it reach, and if it does not, how far short of point B does the block come to a stop? (Enter your answer in m.) |:|m